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73125/73117 - Revision history
2026-06-30T18:08:14Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=73125/73117&diff=177270&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 73125/73117 | Name = galeaclolusisma | Color name = 23u17uu3o1uy<sup>4</sup>-3 <br> twethususutholuquadyo negative 3rd | Comma = yes }} '''73125/..."
2025-01-20T13:53:31Z
<p>Created page with "{{Infobox Interval | Ratio = 73125/73117 | Name = galeaclolusisma | Color name = 23u17uu3o1uy<sup>4</sup>-3 <br> twethususutholuquadyo negative 3rd | Comma = yes }} '''73125/..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 73125/73117<br />
| Name = galeaclolusisma<br />
| Color name = 23u17uu3o1uy<sup>4</sup>-3 <br> twethususutholuquadyo negative 3rd<br />
| Comma = yes<br />
}}<br />
<br />
'''73125/73117''', the '''galeaclolusisma''', is a [[23-limit]] (also [[3.5.11.13.17.23]] [[unnoticeable comma]] of about 0.19 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following intervals:<br />
* [[375/374]] and [[391/390]]<br />
* [[1496/1495]] and [[9000/8993]]<br />
<br />
It can be factored into the following ratios:<br />
* [[11271/11270]] and [[918750/918731]]<br />
* [[14400/14399]] and [[25025/25024]]<br />
* [[202125/202124]] and [[1713660/1713481]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 23-limit leads to the rank-8 temperament '''galeaclolusisma'''. Using the 3.5.11.13.17.23 subgroup leads to the rank-5 temperament '''galeaclolusite'''.<br />
<br />
=== Galeaclolusite ===<br />
<br />
[[Subgroup]]: 3.5.11.13.17.23<br />
<br />
[[Comma list]]: 73125/73117<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 2 || 2 || 2 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || 4 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || 0 || -1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 1 || 0 || 1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 0 || 1 || -2 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~3 = 1\1, ~5/3 = 884.338, ~11/9 = 347.419, ~13/9 = 636.605, ~17/9 = 1101.077<br />
<br />
[[Optimal ET sequence]]: {{EDs| b6g, b8e, b11f, b16ei, b17fi, b17, b24, b25fgi, b26, b28, b43f, b46g, b52, b54, b71, b103f, b106i, b114, b131, b316, b368, b475, b499, b553, b684, b843, b974, b1282, b1396, b1413, b1527, b1658, b1966, b2097, b2940, b3624, b5037, b6564, b9635 |equave=t}}<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to Galeaclolusite, the mineral.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
<br />
[[Category:Commas named after minerals]]</div>
Francium